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TECHNICAL PAPERS

A Fundamental Model of Mistuning for a Single Family of Modes

[+] Author and Article Information
D. M. Feiner, J. H. Griffin

Department of Mechanical Engineering, Carnegie Mellon University, Pittsburgh, PA 15213

J. Turbomach 124(4), 597-605 (Nov 07, 2002) (9 pages) doi:10.1115/1.1508384 History: Received January 30, 2002; Online November 07, 2002
Copyright © 2002 by ASME
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References

Srinivansan,  A. V., 1997, “Flutter and Resonant Vibration Characteristics of Engine Blades,” ASME J. Eng. Gas Turbines Power, 119(4), pp. 742–775.
Dye,  R. C. F., and Henry,  T. A., 1969, “Vibration Amplitudes of Compressor Blades Resulting from Scatter in Blade Natural Frequencies,” ASME J. Eng. Power, 91(3), pp. 182–188.
Ewins,  D. J., 1969, “The Effects of Detuning Upon the Forced Vibrations of Bladed Disks,” J. Sound Vibr. 9(1), pp. 65–79.
Griffin,  J. H., and Hoosac,  T. M., 1984, “Model Development and Statistical Investigation of Turbine Blade Mistuning,” ASME J. Vibr., Acoust., Stress, Reliab. Des., 109, pp. 204–210.
Wei,  S. T., and Pierre,  C., 1988, “Localization Phenomena in Mistuned Assemblies with Cyclic Symmetry, Part II: Forced Vibrations,” ASME J. Vibr., Acoust., Stress, Reliab. Des.,110(4), pp. 429–438.
Rivas-Guerra, A. J., and Mignolet, M. P., 2001, “Local/Global Effects of Mistuning on the Forced Response of Bladed Disks,” ASME Paper 2001-GT-0289, International Gas Turbine Institute Turbo Expo, New Orleans, LA.
Irretier, H., 1983, “Spectral Analysis of Mistuned Bladed Disk Assemblies by Component Mode Synthesis,” Vibrations of Bladed Disk Assemblies, Proc. ASME 9th Biennial Conference on Mechanical Vibration and Noise, Dearborn, MI, pp. 115–125.
Kruse, M. J., and Pierre, C., 1996, “Forced Response of Mistuned Bladed Disks Using Reduced-Order Modeling,” Proc. 37th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Salt Lake City, UT, 4 , pp. 1938–1950.
Yang,  M.-T., and Griffin,  J. H., 1997, “A Reduced Order Approach for the Vibration of Mistuned Bladed Disk Assemblies,” ASME J. Eng. Gas Turbines Power, 119(1), pp. 161–167.
Castanier,  M. P., Ottarsson,  G., and Pierre,  C., 1997, “A Reduced Order Modeling Technique for Mistuned Bladed Disks,” J. Vibr. Acoust., 119(3), pp. 439–447.
Yang, M.-T., and Griffin, J. H., 1999, “A Reduced Order Model of Mistuning Using a Subset of Nominal Modes,” ASME Paper 99-GT-288, International Gas Turbine Institute Turbo Expo, Indianapolis, IN.
Yang,  M.-T., and Griffin,  J. H., 1997, “A Normalized Modal Eigenvalue Approach for Resolving Modal Interaction,” ASME J. Eng. Gas Turbines Power, 119(3), pp. 647–650.

Figures

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Blade amplitude as a function of excitation frequency for a 3rd engine order excitation
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Finite element model of bladed disk sector
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Tuned system frequencies of the first four families of modes
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Tuned system frequencies of the fundamental family of modes
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Representative results of realistic mistuned bladed disk—(a) mistuned frequency; (b) mode shape of 18th mode
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Blade amplitude as a function of excitation frequency for a 7th engine order excitation—(a) mass-spring response; (b) FMM response
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Leading-edge tip displacements for the third family of modes
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Blade amplitude as a function of excitation frequency for a 2nd engine order excitation—(a) family 2, (b) family 3, (c) family 4
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Blade amplitude as a function of excitation frequency for a 7th engine order excitation—(a) family 2, (b) family 3, (c) family 4
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Near equivalence of sector mode and blade mode
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Finite element model of bladed disk system
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Tuned system frequencies
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Representative results of generally mistuned bladed disk—(a) mistuned frequency; (b) mode shape of 17th mode

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